Schwarz methods for discrete elliptic and parabolic problems with an application to nuclear waste repository modelling
- 作者：R. Blaheta ; R. Kohut ; M. Neytcheva ; J. Starý
- 关键词：Elliptic problems ; Parabolic problems ; Overlapping domain decomposition ; Schwarz methods ; Nuclear waste repository
- 刊名：Mathematics and Computers in Simulation
- 出版年：2007
- 期刊代码：88_03784754
- 类别：cp
- 出版时间：12 October 2007
- 卷：76
- 期：1-3
- 页码：18-27
- 文件大小：361 K
摘要
The paper is devoted to the numerical solution of both elliptic and parabolic problems by overlapping Schwarz methods. It demonstrates that while the two-level Schwarz method is necessary for the efficient solution of discrete elliptic problems, the one-level Schwarz method can be sufficiently efficient in the parabolic case. The paper includes results from numerical simulations of a large-scale model of the performance of a nuclear waste repository.